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Gram-de finetti matrices

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Abstract

One investigates the probability structure of random sequences of elements of a Hilbert space, considered within the accuracy of an isometry, whose distributions are invariant relative to a finite permutation of the terms.

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Literature cited

  1. M. Loève, Probability Theory II, 4th ed., Springer-Verlag, New York (1978).

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  2. M. Loève, Probability Theory, Van Nostrand, Princeton (1955).

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  3. V. A. Rokhlin, “On the fundamental concepts of measure theory,” Mat. Sb.,25(67), No. 1, 107–150 (1949).

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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 119, pp. 77–86, 1982.

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Dovbysh, L.N., Sudakov, V.N. Gram-de finetti matrices. J Math Sci 27, 3047–3054 (1984). https://doi.org/10.1007/BF01843548

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  • DOI: https://doi.org/10.1007/BF01843548

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